91,452 research outputs found
Partial Enumerative Sphere Shaping
The dependency between the Gaussianity of the input distribution for the
additive white Gaussian noise (AWGN) channel and the gap-to-capacity is
discussed. We show that a set of particular approximations to the
Maxwell-Boltzmann (MB) distribution virtually closes most of the shaping gap.
We relate these symbol-level distributions to bit-level distributions, and
demonstrate that they correspond to keeping some of the amplitude bit-levels
uniform and independent of the others. Then we propose partial enumerative
sphere shaping (P-ESS) to realize such distributions in the probabilistic
amplitude shaping (PAS) framework. Simulations over the AWGN channel exhibit
that shaping 2 amplitude bits of 16-ASK have almost the same performance as
shaping 3 bits, which is 1.3 dB more power-efficient than uniform signaling at
a rate of 3 bit/symbol. In this way, required storage and computational
complexity of shaping are reduced by factors of 6 and 3, respectively.Comment: 6 pages, 6 figure
Protograph-Based LDPC Code Design for Shaped Bit-Metric Decoding
A protograph-based low-density parity-check (LDPC) code design technique for
bandwidth-efficient coded modulation is presented. The approach jointly
optimizes the LDPC code node degrees and the mapping of the coded bits to the
bit-interleaved coded modulation (BICM) bit-channels. For BICM with uniform
input and for BICM with probabilistic shaping, binary-input symmetric-output
surrogate channels for the code design are used. The constructed codes for
uniform inputs perform as good as the multi-edge type codes of Zhang and
Kschischang (2013). For 8-ASK and 64-ASK with probabilistic shaping, codes of
rates 2/3 and 5/6 with blocklength 64800 are designed, which operate within
0.63dB and 0.69dB of continuous AWGN capacity for a target frame error rate of
1e-3 at spectral efficiencies of 1.38 and 4.25 bits/channel use, respectively.Comment: 9 pages, 10 figures. arXiv admin note: substantial text overlap with
arXiv:1501.0559
Probabilistically-Shaped Coded Modulation with Hard Decision Decoding for Coherent Optical Systems
We consider probabilistic shaping to maximize the achievable information rate
of coded modulation (CM) with hard decision decoding. The proposed scheme using
binary staircase codes outperforms its uniform CM counterpart by more than 1.3
dB for 64-QAM and 5 bits/symbol
Constellation Shaping for Bit-Interleaved LDPC Coded APSK
An energy-efficient approach is presented for shaping a bit-interleaved
low-density parity-check (LDPC) coded amplitude phase-shift keying (APSK)
system. A subset of the interleaved bits output by a binary LDPC encoder are
passed through a nonlinear shaping encoder whose output is more likely to be a
zero than a one. The "shaping" bits are used to select from among a plurality
of subconstellations, while the unshaped bits are used to select the symbol
within the subconstellation. Because the shaping bits are biased, symbols from
lower-energy subconstellations are selected more frequently than those from
higher-energy subconstellations. An iterative decoder shares information among
the LDPC decoder, APSK demapper, and shaping decoder. Information rates are
computed for a discrete set of APSK ring radii and shaping bit probabilities,
and the optimal combination of these parameters is identified for the additive
white Gaussian noise (AWGN) channel. With the assistance of
extrinsic-information transfer (EXIT) charts, the degree distributions of the
LDPC code are optimized for use with the shaped APSK constellation. Simulation
results show that the combination of shaping, degree-distribution optimization,
and iterative decoding can achieve a gain in excess of 1 dB in AWGN at a rate
of 3 bits/symbol compared with a system that does not use shaping, uses an
unoptimized code from the DVB-S2 standard, and does not iterate between decoder
and demodulator.Comment: to appear in IEEE Transactions on Communication
Experimental Verification of Rate Flexibility and Probabilistic Shaping by 4D Signaling
The rate flexibility and probabilistic shaping gain of -dimensional
signaling is experimentally tested for short-reach, unrepeated transmission. A
rate granularity of 0.5 bits/QAM symbol is achieved with a distribution matcher
based on a simple look-up table.Comment: Presented at OFC'18, San Diego, CA, US
Ultra-Sparse Non-Binary LDPC Codes for Probabilistic Amplitude Shaping
This work shows how non-binary low-density parity-check codes over GF()
can be combined with probabilistic amplitude shaping (PAS) (B\"ocherer, et al.,
2015), which combines forward-error correction with non-uniform signaling for
power-efficient communication. Ultra-sparse low-density parity-check codes over
GF(64) and GF(256) gain 0.6 dB in power efficiency over state-of-the-art binary
LDPC codes at a spectral efficiency of 1.5 bits per channel use and a
blocklength of 576 bits. The simulation results are compared to finite length
coding bounds and complemented by density evolution analysis.Comment: Accepted for Globecom 201
Optimization of a Coded-Modulation System with Shaped Constellation
Conventional communication systems transmit signals that are selected from a signal constellation with uniform probability. However, information-theoretic results suggest that performance may be improved by shaping the constellation such that lower-energy signals are selected more frequently than higher-energy signals. This dissertation presents an energy efficient approach for shaping the constellations used by coded-modulation systems. The focus is on designing shaping techniques for systems that use a combination of amplitude phase shift keying (APSK) and low-density parity check (LDPC) coding. Such a combination is typical of modern satellite communications, such as the system used by the DVB-S2 standard.;The system implementation requires that a subset of the bits at the output of the LDPC encoder are passed through a nonlinear shaping encoder whose output bits are more likely to be a zero than a one. The constellation is partitioned into a plurality of sub-constellations, each with a different average signal energy, and the shaping bits are used to select the sub-constellation. An iterative receiver exchanges soft information among the demodulator, LDPC decoder, and shaping decoder. Parameters associated with the modulation and shaping code are optimized with respect to information rate, while the design of the LDPC code is optimized for the shaped modulation with the assistance of extrinsic-information transfer (EXIT) charts. The rule for labeling the constellation with bits is optimized using a novel hybrid cost function and a binary switching algorithm.;Simulation results show that the combination of constellation shaping, LDPC code optimization, and optimized bit labeling can achieve a gain in excess of 1 dB in an additive white Gaussian noise (AWGN) channel at a rate of 3 bits/symbol compared with a system that adheres directly to the DVB-S2 standard
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